New Mathematical Advances In Economic Dynamics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download New Mathematical Advances In Economic Dynamics PDF full book. Access full book title New Mathematical Advances In Economic Dynamics.
| Author | : David F. Batten |
| Publisher | : Routledge |
| Total Pages | : 216 |
| Release | : 2018-02-28 |
| Genre | : Business & Economics |
| ISBN | : 1351141074 |
Download New Mathematical Advances in Economic Dynamics Book in PDF, ePub and Kindle
Originally published in 1985. Mathematical methods and models to facilitate the understanding of the processes of economic dynamics and prediction were refined considerably over the period before this book was written. The field had grown; and many of the techniques involved became extremely complicated. Areas of particular interest include optimal control, non-linear models, game-theoretic approaches, demand analysis and time-series forecasting. This book presents a critical appraisal of developments and identifies potentially productive new directions for research. It synthesises work from mathematics, statistics and economics and includes a thorough analysis of the relationship between system understanding and predictability.
| Author | : David F. Batten |
| Publisher | : Routledge |
| Total Pages | : 287 |
| Release | : 2018-02-28 |
| Genre | : Business & Economics |
| ISBN | : 1351141066 |
Download New Mathematical Advances in Economic Dynamics Book in PDF, ePub and Kindle
Originally published in 1985. Mathematical methods and models to facilitate the understanding of the processes of economic dynamics and prediction were refined considerably over the period before this book was written. The field had grown; and many of the techniques involved became extremely complicated. Areas of particular interest include optimal control, non-linear models, game-theoretic approaches, demand analysis and time-series forecasting. This book presents a critical appraisal of developments and identifies potentially productive new directions for research. It synthesises work from mathematics, statistics and economics and includes a thorough analysis of the relationship between system understanding and predictability.
| Author | : Mohd. Nain bin Hj. Awang |
| Publisher | : |
| Total Pages | : |
| Release | : 1991 |
| Genre | : Algorithms |
| ISBN | : |
Download New Mathematical Advances in Economic Dynamics Book in PDF, ePub and Kindle
| Author | : V.L. Makarov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 268 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 1461298865 |
Download Mathematical Theory of Economic Dynamics and Equilibria Book in PDF, ePub and Kindle
This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathemati cal economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a trajectory, i.e., a sequence of elements of the phase space that describe admissible (possible) development of the economy. From all trajectories, we select those that are" desirable," i.e., optimal in terms of a certain criterion. The apparatus of point-set maps is the appropriate tool for the analysis of these models. The topological aspects of these maps (particularly, the Kakutani fixed-point theorem) are used to study equilibrium models as well as n-person games. To study dynamic models we use a special class of maps which, in this book, are called superlinear maps. The theory of superlinear point-set maps is, obviously, of interest in its own right. This theory is described in the first chapter. Chapters 2-4 are devoted to models of economic dynamics and present a detailed study of the properties of optimal trajectories. These properties are described in terms of theorems on characteristics (on the existence of dual prices) and turnpike theorems (theorems on asymptotic trajectories). In Chapter 5, we state and study a model of economic equilibrium. The basic idea is to establish a theorem about the existence of an equilibrium state for the Arrow-Debreu model and a certain generalization of it.
| Author | : Vasily E. Tarasov |
| Publisher | : MDPI |
| Total Pages | : 278 |
| Release | : 2020-06-03 |
| Genre | : Business & Economics |
| ISBN | : 303936118X |
Download Mathematical Economics Book in PDF, ePub and Kindle
This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
| Author | : Pan-Tai Liu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 273 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 1468435728 |
Download Dynamic Optimization and Mathematical Economics Book in PDF, ePub and Kindle
As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.
| Author | : Michael D. Intriligator |
| Publisher | : SIAM |
| Total Pages | : 527 |
| Release | : 1971-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719215 |
Download Mathematical Optimization and Economic Theory Book in PDF, ePub and Kindle
Mathematical Optimization and Economic Theory provides a self-contained introduction to and survey of mathematical programming and control techniques and their applications to static and dynamic problems in economics, respectively. It is distinctive in showing the unity of the various approaches to solving problems of constrained optimization that all stem back directly or indirectly to the method of Lagrange multipliers. In the 30 years since its initial publication, there have been many more applications of these mathematical techniques in economics, as well as some advances in the mathematics of programming and control. Nevertheless, the basic techniques remain the same today as when the book was originally published. Thus, it continues to be useful not only to its original audience of advanced undergraduate and graduate students in economics, but also to mathematicians and other researchers interested in learning about the applications of the mathematics of optimization to economics. The book covers in some depth both static programming problems and dynamic control problems of optimization and the techniques of their solution. It also clearly presents many applications of these techniques to economics, and it shows why optimization is important for economics. Audience: mathematicians and other researchers who are interested in learning about the applications of mathematical optimization in economics, as well as students at the advanced undergraduate and beginning graduate level. A basic knowledge of analysis and matrix algebra is recommended. Two appendices summarize the necessary mathematics.
| Author | : Thierry Vialar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 752 |
| Release | : 2009-04-26 |
| Genre | : Business & Economics |
| ISBN | : 3540859780 |
Download Complex and Chaotic Nonlinear Dynamics Book in PDF, ePub and Kindle
Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.
| Author | : Wei-Bin Zhang |
| Publisher | : EOLSS Publications |
| Total Pages | : 520 |
| Release | : 2010-06-10 |
| Genre | : Economics |
| ISBN | : 1848262299 |
Download Mathematical Models in Economics - Volume II Book in PDF, ePub and Kindle
Mathematical Models in Economics is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. This theme is organized into several different topics and introduces the applications of mathematics to economics. Mathematical economics has experienced rapid growth, generating many new academic fields associated with the development of mathematical theory and computer. Mathematics is the backbone of modern economics. It plays a basic role in creating ideas, constructing new theories, and empirically testing ideas and theories. Mathematics is now an integral part of economics. The main advances in modern economics are characterized by applying mathematics to various economic problems. Many of today's profound insights into economic problems could hardly be obtained without the help of mathematics. The concepts of equilibrium versus non-equilibrium, stability versus instability, and steady states versus chaos in the contemporary literature are difficult to explain without mathematics. The theme discusses on modern versions of some classical economic theories, taking account of balancing between significance of economic issues and mathematical techniques. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
| Author | : Toru Maruyama |
| Publisher | : Springer Nature |
| Total Pages | : 333 |
| Release | : 2020-02-20 |
| Genre | : Mathematics |
| ISBN | : 9811507139 |
Download Advances in Mathematical Economics Book in PDF, ePub and Kindle
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
